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Law Incorporation
1 month ago
15

Solving the inequality 2(4x-3)>-3(3x)+5x

Mathematics
1 answer:
PIT_PIT [12.4K]1 month ago
4 0
The solution to this inequality is.5>x

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A researcher evaluates the significance of a multiple-regression equation and obtains an F-ratio with df = 2,24. How many partic
Inessa [12570]

Answer:

N=27 individuals

Step-by-step explanation:

Analysis of variance (ANOVA) is employed to assess the differences among group means in a sample.

The sum of squares refers to the cumulative square of variation, which is the dispersion between each individual value and the overall mean.

While conducting a multiple regression, we aim to understand the relationship between multiple independent or predictor variables and one dependent or outcome variable.

<passuming we="" have="" src="https://tex.z-dn.net/?f=k" id="TexFormula1" title="k" alt="k" align="absmiddle" class="latex-formula"> independent variables and j=1,\dots,j individuals, we are able to define the corresponding formulas of variation:

SS_{total}=\sum_{j=1}^n (y_j-\bar y)^2

SS_{regression}=SS_{model}=\sum_{j=1}^n (\hat y_{j}-\bar y)^2

SS_{error}=\sum_{j=1}^n (y_{j}-\hat y_j)^2

We also have this property

SST=SS_{regression}+SS_{error}

The model's degrees of freedom in this instance is determined by df_{model}=df_{regression}=k=2 where k = 2 represents the number of variables.

For the error's degrees of freedom in this case, it is indicated by df_{error}=N-k-1=24. Knowing k allows us to ascertain N.

N=24+k+1=24+2+1=27

The total degrees of freedom would be df=N-1=27 -1 =26

This leads us to conclude that the correct answer is N=27 participants.

</passuming>
6 0
2 months ago
Evan bought 6 batteries at $10 apiece and 6 batteries at $4 apiece. the total cost was the same as he would have spent buying 6
zzz [12365]
<span>6 * $10 + 6 * $4 = 6 * $14
This illustrates the distributive law property — the identity is:

</span>a * b + a * c = a * (b + c)

In this example:

a = 6
b = 10
c = 4

So 6 * $10 + 6 * $4 = 6 * $14 is equivalent to 6 * $10 + 6 * $4 = 6 * ($10 + $4)
7 0
1 month ago
day and night kennel charges $20 per day plus a food fee of $15 to board a pet. home away from home kennel charges $30 per day p
PIT_PIT [12445]
Let n denote the number of days and C the total cost; Charges by Day and Night kennel, C=15+20n Charges by Home Away from Home; C=5 + 30n The resulting system of equations would be; C=15+20n C=5+30n
8 0
1 month ago
Read 2 more answers
Given the equation −4Square root of x minus 3 = 12, solve for x and identify if it is an extraneous solution.
Inessa [12570]

Answer:

The provided radical equation has no solution.

x = 225/16 is not a valid solution.

Step-by-step explanation:

The given equation is  

Add 3 to both sides of the equation

Squaring both sides

Divide both sides by 16

Check by substituting the value of x back into the original equation to confirm the extraneous solution.

 

Since -18 is not equal to 12, thus the value of x fails to satisfy the equation.

Consequently, x = 225/16 is an extraneous solution.

Step-by-step explanation:

4 0
2 months ago
Read 2 more answers
Sarah can bicycle a loop around the north part of Lake Washington in 2 hours and 30 minutes. If she could increase her average s
Leona [12618]

Response:

The loop's length is roughly 49.58 km.

Step-by-step details:

Given:

Duration to cycle the loop = 2 hours and 30 minutes

It is known that;

60 minutes = 1 hour

30 minutes = 0.5 hour

therefore, 2 hours and 30 minutes = 2+0.5 = 2.5\ hrs

∴ Time to cycle the loop = 2.5 hours

Let 's' denote the cycling speed.

Denote the total loop distance as 'd'

From our understanding;

Distance equals speed times time.

Representing this as an equation we have;

d =2.5s \ \ \ \ equation \ 1

Given:

If her speed increased by 1 km/hr, the time taken around the loop would decrease by 7 minutes.

As a result, we can say;

Speed =s+1

The time then will be shortened by 7 minutes.

7 minutes = 0.12 hours

Consequently, time = 2.5 - 0.12 = 2.38

Again, Distance is calculated as speed times time.

This can be expressed with equations;

d =2.38(s+1) \ \ \ \ equation \ 2

The distances are equivalent in both scenarios, thus we will determine speed by equating the equations.

2.5s = 2.38(s+1)\\\\2.5s=2.38s+2.38\\\\2.5s-2.38s =2.38\\\\0.12s= 2.38\\\\s =\frac{2.38}{0.12} \approx 19.83\ km/hr

So, Speed = 19.83 km/hr

Loop length (d) = 19.83\times 2.5 = 49.58 \ km

Therefore, the loop length is approximately 49.58 km.

7 0
2 months ago
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